Prime p₀= 2159711425688999867 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: Landjunge
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2159710743532528327	0 16 22 36 42 52 60 102 154 196 204 214 220 234 240 256	-682156471540
SPT(16)	2159710861830944963	0 6 36 56 74 114 116 126 134 144 146 186 204 224 254 260	-563858054904
TPT(14)	2159710867985821919	0 2 60 62 108 110 138 140 198 200 240 242 312 314	-557703177948
STPT(10)	2159711065089976379	0 2 42 44 60 62 78 80 120 122	-360599023488
TPT(14)	2159711112530632811	0 2 36 38 96 98 120 122 138 140 168 170 210 212	-313158367056
SPT(16)	2159711285166289607	0 2 12 42 62 86 90 96 146 152 156 180 200 230 240 242	-140522710260
STPT(10)	2159711942557155191	0 2 6 8 18 20 30 32 36 38	516868155324
STPT(10)	2159712055370737079	0 2 42 44 60 62 78 80 120 122	629681737212
STPT(10)	2159712479730066617	0 2 42 44 72 74 102 104 144 146	1054041066750
SPT(16)	2159712830957686211	0 6 18 26 42 50 102 120 158 176 228 236 252 260 272 278	1405268686344
STPT(10)	2159713064770129709	0 2 78 80 120 122 162 164 240 242	1639081129842